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Finding the Third Proportional to 756,987,411,267 and 1,628,785,941,681

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Solution

The third proportional to 756,987,411,267 and 1,628,785,941,681 is: 3,504,607,347,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,987,411,267 : 1,628,785,941,681 = 1,628,785,941,681 : x
  2. Step 2: Convert to fraction form
    756,987,411,267/1,628,785,941,681 = 1,628,785,941,681/x
  3. Step 3: Cross multiply
    756,987,411,267x = 1,628,785,941,681 × 1,628,785,941,681
  4. Step 4: Simplify right side
    756,987,411,267x = 2,652,943,643,817,662,025,302,016
  5. Step 5: Solve for x
    x = 2,652,943,643,817,662,025,302,016/756,987,411,267
  6. Step 6: Final answer
    x = 3,504,607,347,931.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.